Question 4 A red die, a blue die, and a yellow die (all six-sided) are rolled. We are interested in the probability that the number appearing on the blue die is less than that appearing on the yellow die which is less than that appearing on the red die. (That is, if B (R) [Y ] is the number appearing on the blue (red) [yellow] die, then we are interested in P(B < Y < R). ) (a) What is the probability that no two of the dice land on the same
Question 4 A red die, a blue die, and a yellow die (all six-sided) are rolled. We are interested in
the probability that the number appearing on the blue die is less than that appearing on the
yellow die which is less than that appearing on the red die. (That is, if B (R) [Y ] is the number
appearing on the blue (red) [yellow] die, then we are interested in P(B < Y < R). )
(a) What is the probability that no two of the dice land on the same number?
(b) Given that no two of the dice land on the same number, what is the
conditional probability that B < Y < R?
(c) What is P(B < Y < R)?
(d) If we regard the outcome of the experiment as the
many outcomes are there in the
(e) Without using the answer to (c),determine the number of outcomes that result in B<Y<R.
(f) Use the results of parts (d) and (e) to verify your answer to part (c)
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